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Finding the Fourth Proportional to 276,094.48, 414,080.16 and 107,619.34

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Solution

The fourth proportional to 276,094.48, 414,080.16 and 107,619.34 is: 161,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,094.48 : 414,080.16 = 107,619.34 : x
  2. Step 2: Convert to fraction form
    276,094.48/414,080.16 = 107,619.34/x
  3. Step 3: Cross multiply
    276,094.48x = 414,080.16 × 107,619.34
  4. Step 4: Simplify right side
    276,094.48x = 44,563,033,526.29
  5. Step 5: Solve for x
    x = 44,563,033,526.29/276,094.48
  6. Step 6: Final answer
    x = 161,405.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.